Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick? Work it out.

Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

always.  two 90 degree angles always sum to 180 which is a straight line

We are given the Indefinite integral ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{x-x^{3}}}[/tex]

Take x common from denominator ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{x(1-x^{2})}}[/tex]

Now , Put ;

[tex]{:\implies \quad \displaystyle \sf x^{2}=u}[/tex]

So that ;

[tex]{:\implies \quad \displaystyle \sf dx=\dfrac{du}{2\sqrt{u}}\quad and\quad x=\sqrt{u}}[/tex]

Now , putting the values ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{1}{\sqrt{u}(1-u)}\times \dfrac{1}{2}\times \dfrac{du}{\sqrt{u}}}[/tex]

Now , as constant can be taken out of the integrand, so now ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \dfrac{du}{u(1-u)}}[/tex]

Using partial fraction decomposition, Rewrite the integral as ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{u}+\dfrac{1}{1-u}\right)du}[/tex]

As Integrals follow distributive property, so breaking the integral into two integrals, and continuing the integration

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{u}du+\int \dfrac{1}{1-u}du\right)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\bigg\{log|u|+\dfrac{log|1-u|}{(-1)}\bigg\}+C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|u|-log|1-u|)+C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{u}{1-u}\bigg| +C}[/tex]

Putting value of u ;

[tex]{:\implies \quad \therefore \quad \underline{\underline{\displaystyle \bf \int \dfrac{dx}{x-x^{3}}=\dfrac{1}{2}log\bigg|\dfrac{x^2}{1-x^{2}}\bigg| +C}}}[/tex]

This is the required answer

Answer:

See below.

Step-by-step explanation:

Are f(x)=x2 and g(x) =4/5x2 correctly written?

This answer assumes they are supposed to be:

f(x)=x^2 and g(x) = (4/5)x^2

If these revisions are correct, g(x) would produce values that are (4/5) of f(x).

See attached graph.

I don't see any of the options for "best statement."

Answer:

  4155 years

Step-by-step explanation:

The exponential equation can be solved by using logarithms to transform it to a linear equation.

The problem statement tells you that for some initial amount of C-14 equal to N0, the remaining amount is N = 0.66N0. That means the equation you need to solve is ...

  0.66 = e^(-0.0001t) . . . . . . factor of N0 in 0.66N0 and N0·e^() divided out

Taking natural logs, you have ...

  ln(0.66) = -0.0001t

  t = -ln(0.66)/0.0001 ≈ 4155

The age of the spear head is about 4155 years.

Answer:

5/8 ft more

Step-by-step explanation:

3/4-1/8=5/8

6/8-1/8=5/8

Answer:

60/7

Step-by-step explanation:

8x7=56

56+4=60

Answer:

[tex]=\frac{60}{7}[/tex]

Step-by-step explanation:

Given the following question:

[tex]8\frac{4}{7}[/tex]

In order to convert the mixed number into an improper fraction multiply the denominator by the whole number and then add the numerator. While of course keeping the denominator the same.

[tex]8\frac{4}{7}[/tex]
[tex]8\frac{4}{7}=7\times8=56+4=60=\frac{60}{7}[/tex]
[tex]=\frac{60}{7}[/tex]

Your answer is indeed "60/7."

Hope this helps.

yes

yes

Step-by-step explanation:

I am in the blooket

Answer:

ok

Step-by-step explanation:

Answer:

×=7 or ×= ⅓ or ×=¼

Step-by-step explanation:

12׳ - 91ײ + 50× -7=0

(× -7)(3×- 1)(4×-1)=0

×-7=0 or 3× -1 =0 or 4× -1 = 0

×=7 or × =⅓ or ×=¼

Answer:

$84

Step-by-step explanation:

$80 * .05=4.00

$80 +4=$84.00

Answer:

C.$20.00

Because it has to be lower than $400 and higher than $10

Answer:

6600ft.² is the correct answer.

Step-by-step explanation:

Given that,

[tex] \: [/tex]

To Find:

[tex] \: [/tex]

Solution:

Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle

[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]

[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]

[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]

[tex]\longrightarrow \: \pi r(2h + r)[/tex]

[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]

[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]

[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]

[tex]\longrightarrow \: 660 \times 10[/tex]

[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]

Hence, Area of the Cylindrical tank to be painted is 6600ft.²

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer:

5773185

Step-by-step explanation:

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Answer:

Let A(9, 9) & B(1, 4) are two point through which Line e passes.

Equation of e is given by

y - y1 = y2 - y1/ x2 - x1(x - x1)

or, y - 9 = 4-9/1-9 (x - 9)

or, -8y + 72 = -5x + 45

or, 5x - 8y + 27 = 0...........1.

Again,

consider C (1, 5) & D (9, 10) are other two points through with Line f pass through.

Also, eqn of f is,

y- 5 = 10-5/9-1 (x - 1)

or, 8y - 5 = 5x - 5

or, 5x - 8y =0 ...........2.

Let m1 and m2 are slopes between the lines.

Now, slope of 1. = - coef. of x/ coef. of y

= -5/-8 = 5/8 =m1

& slope of 2. = -5/-8 = 5/8 = m2

Since slopes of lines i. e. m1 = m2, so the lines are parallel to each other.

Answer:

2*3

Step-by-step explanation:

first name last sw do

Stefany Tolesteros and LOLOftes thanks me later

Answer:

$18 = 6 pounds

Step-by-step explanation:

351 members

Multiply .65 by 540 which gives you 351.

pi is 22 divide by seven. we can also say that

pi is a constant number. More than how did it form I think it's more important that why did it formed. It formed to calculate many matters about circle. Like we know that value of gravity is 9.8 it is a constant for circle

Already answered here: https://brainly.com/question/26860297

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

We are given that the circumference of a circle is 77 units and we need to find it's diameter . But let's recall that for any Circle with radius r , the circumference is given by 2πr . And diameter is double of radius i.e d = 2r , so we can write the circumference as 2r(π) i.e dπ . So , now here

[tex]{:\implies \quad \sf d\pi =77}[/tex]

[tex]{:\implies \quad \sf d\times \dfrac{22}{7}=77}[/tex]

[tex]{:\implies \quad \sf d=\dfrac{77\times 7}{22}}[/tex]

[tex]{:\implies \quad \sf d=\dfrac{\cancel{11}\times 7\times 7}{\cancel{11}\times 2}}[/tex]

[tex]{:\implies \quad \sf d=\dfrac{49}{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Diameter=24.5\:\: units}}}[/tex]

Answer:

87

Step-by-step explanation:

Answer:

Lines RS and TV are parallel.

Line TV has a slope of 0.

Line SW has an undefined slope.

Step-by-step explanation:

Lines RS and TV are parallel as we know they will never meet because they are straight lines.

Line TC has a slope of 0 because it is horizontal.

Line RS can't be the slope of 6, because a slope greater or less than 0 will be diagonal.

Line SW has an undefined slope because it is vertical.

Line SW is perpendicular to both as it forms a 90-degree angle for both, so the 5th term is wrong.

The statements A, B, and D are true about the given lines for the shown figure.

Parallel lines are two or more lines in a plane that are equidistant from each other at all points. This means that they never meet or cross each other, no matter how far they are extended.

As per the shown graph, we have:

Lines RS and TV are parallel since we know they will never intersect due to their straightness.

Because line TC is horizontal, it has no slope.

Line RS cannot have a slope of 6, since any slope higher or less than 0 is diagonal.

Since Line SW is vertical, it has an undefined slope.

Since line SW creates a 90-degree angle with both, the fifth statement is incorrect.

Therefore, statements A, B, and D are true about the given lines for the shown figure.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ7

Step-by-step explanation:

[tex]2 log(x) - log(x - 2) = 2 log(3) [/tex]

[tex] log(x {}^{2} ) - log(x - 2) = log(9) [/tex]

[tex] log( \frac{ {x}^{2} }{x - 2} ) = log(9) [/tex]

[tex] \frac{ {x}^{2} }{x - 2} = 9[/tex]

[tex] {x}^{2} = 9x - 18[/tex]

[tex] {x}^{2} - 9x + 18 = 0[/tex]

[tex](x - 3)(x - 6) = 0[/tex]

[tex]x = 3[/tex]

and

[tex]x = 6[/tex]

Answer

There is no Question??

sure I will help in what you need help

Answer:

sure but what's the question???

Answer:

False

Step-by-step explanation:

3+2=5

3+2=55-1=4

3+2=55-1=44x4=16

3+2=55-1=44x4=16Hence, the equation is true.

Answer:

y=11 * (18/5)

Step-by-step explanation:

y = kx

Where k is constant of proportionality

18 = k(5)

Hence k = (18/5)

For x = 11, y is....

Y = kx

Y= (18/5) * 11